(A) Find the general solution for the displacement x = x(t) of
the forced mechanical system...
(A) Find the general solution for the displacement x = x(t) of
the forced mechanical system x´´ + 6x´ + 8x = 35 sin t. (B)
Identify the steady-periodic part
Use the method of Undetermined Coefficients to find a general
solution of this system X=(x,y)^T
Show the details of your work:
x' = 6 y + 9 t
y' = -6 x + 5
Note answer is: x=A cos 4t + B sin 4t +75/36; y=B cos
6t - A sin 6t -15/6 t
Find the general solution of the linear system
x ̇1 = x1, x ̇2 = ax2
Where a is a constant. Draw the phase planes for a = −1, 0, 1. Comment on the changes of the phase plane
Find the solution of the system
x′=−4y, y′=3x,
where primes indicate derivatives with respect to t, that
satisfies the initial condition x(0)=1, y(0)=−1.